unit step function

If u(t) is the unit step function, then the region of convergence (ROC) of the Laplace transform of the signal x(t) = e^(t^2) [u(t − 1) – u(t − 10)] is

The signal energy of the continuous-time signal $x(t) = [(t-1)u(t-1)]-[(t-2)u(t-2)]-[(t-3)u(t-3)]+[(t-4)u(t-4)]$ is

A rectangular current pulse of duration T and magnitude 1 has the Laplace transform

The Laplace transform of $$\,\left( {{t^2} - 2t} \right)\,u\left( {t - 1} \right)$$ is ______________.